2log(3x+1)=log(2x+4)+1

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Solution for 2log(3x+1)=log(2x+4)+1 equation:


Simplifying
2log(3x + 1) = log(2x + 4) + 1

Reorder the terms:
2glo(1 + 3x) = log(2x + 4) + 1
(1 * 2glo + 3x * 2glo) = log(2x + 4) + 1
(2glo + 6glox) = log(2x + 4) + 1

Reorder the terms:
2glo + 6glox = glo(4 + 2x) + 1
2glo + 6glox = (4 * glo + 2x * glo) + 1
2glo + 6glox = (4glo + 2glox) + 1

Reorder the terms:
2glo + 6glox = 1 + 4glo + 2glox

Solving
2glo + 6glox = 1 + 4glo + 2glox

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '-4glo' to each side of the equation.
2glo + -4glo + 6glox = 1 + 4glo + -4glo + 2glox

Combine like terms: 2glo + -4glo = -2glo
-2glo + 6glox = 1 + 4glo + -4glo + 2glox

Combine like terms: 4glo + -4glo = 0
-2glo + 6glox = 1 + 0 + 2glox
-2glo + 6glox = 1 + 2glox

Add '-2glox' to each side of the equation.
-2glo + 6glox + -2glox = 1 + 2glox + -2glox

Combine like terms: 6glox + -2glox = 4glox
-2glo + 4glox = 1 + 2glox + -2glox

Combine like terms: 2glox + -2glox = 0
-2glo + 4glox = 1 + 0
-2glo + 4glox = 1

Reorder the terms:
-1 + -2glo + 4glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -2glo + 4glox = 0

The solution to this equation could not be determined.

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